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Finding the Third Proportional to 72,250 and 95,893

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Solution

The third proportional to 72,250 and 95,893 is: 127,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,250 : 95,893 = 95,893 : x
  2. Step 2: Convert to fraction form
    72,250/95,893 = 95,893/x
  3. Step 3: Cross multiply
    72,250x = 95,893 × 95,893
  4. Step 4: Simplify right side
    72,250x = 9,195,467,449
  5. Step 5: Solve for x
    x = 9,195,467,449/72,250
  6. Step 6: Final answer
    x = 127,272.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.